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Conference papers
Coalescing Cellular Automata
Abstract : We say that a Cellular Automata (CA) is coalescing when its execution on two distinct (random) initial configurations in the same asynchronous mode (the same cells are updated in each configuration at each time step) makes both configurations become identical after a reasonable time. We prove coalescence for two elementary rules and show that there exists infinitely many coalescing CA. We then conduct an experimental study on all elementary CA and show that some rules exhibit a phase transition, which belongs to the universality class of directed percolation.
Cited literature [4 references]
https://hal-ens-lyon.archives-ouvertes.fr/ensl-00103510
Contributor : Jean-Baptiste Rouquier <>
Submitted on : Wednesday, October 4, 2006 - 3:36:27 PM
Last modification on : Friday, June 25, 2021 - 3:40:03 PM
Long-term archiving on: : Tuesday, April 6, 2010 - 6:10:43 PM
Contributor : Jean-Baptiste Rouquier <>
Submitted on : Wednesday, October 4, 2006 - 3:36:27 PM
Last modification on : Friday, June 25, 2021 - 3:40:03 PM
Long-term archiving on: : Tuesday, April 6, 2010 - 6:10:43 PM